Title of article
image-boundedness of the pullback attractor for a non-autonomous reaction–diffusion equation Original Research Article
Author/Authors
M. Anguiano، نويسنده , , T. Caraballo، نويسنده , , J. Real، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
876
To page
880
Abstract
We prove some regularity results for the pullback attractor of a reaction–diffusion model. First we establish a general result about H2H2-boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a non-autonomous reaction–diffusion equation is bounded not only in View the MathML sourceL2(Ω)∩H01(Ω) but also in H2(Ω)H2(Ω).
Keywords
invariant sets , Non-autonomous (pullback) attractors , H2H2-regularity , reaction–diffusion equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862143
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